The graph between volume and temperature in Charles’ law is

(a)

an ellipse

(b)

a circle

(c)

a straight line

(d)

a parabola

An ideal gas passes from one equilibrium state (P₁, V₁, T₁, N) to another equilibrium state (2P₁, 3V₁, T₂, N). Then

(a)

T₁ = T₂

(b)

\({ T }_{ 1 }=\frac { { T }_{ 2 } }{ 6 } \)

(c)

T₁ = 6T₂

(d)

T₁ = 3T₂

When food is cooked in a vessel by keeping the lid closed, after some time the steam pushes the lid outward. By considering the steam as a thermodynamic system, then in the cooking process

(a)

Q > 0, W > 0,

(b)

Q < 0, W > 0,

(c)

Q > 0, W < 0,

(d)

Q < 0, W < 0,

A hot cup of coffee is kept on the table. After some time it attains a thermal equilibrium with the surroundings. By considering the air molecules in the room as a thermodynamic system, which of the following is true

(a)

ΔU > 0, Q = 0

(b)

ΔU > 0, W < 0

(c)

ΔU > 0, Q > 0

(d)

ΔU = 0, Q > 0

The V-T diagram of an ideal gas which goes through a reversible cycle A→B→C→D is shown below. (Processes D→A and B→C are adiabatic)

The corresponding PV diagram for the process is (all figures are schematic)

(a)

(b)

(c)

(d)